Optical constants

Refractive index of S-LAH89 (OHARA)

S-LAH89: n,k 0.4–2.3 µm

Data
formula 2 + tabulated k
Range
0.4–2.3 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.4–2.3 µm
Refractive index n
1.8515
Extinction coefficient k
5.76535e-09
Permittivity ε1
3.42804
Permittivity ε2
2.13491e-08
Absorption coefficient α
0.00123297 cm⁻¹
Penetration depth δ = λ/(2πk)
1.62209e+10 nm
Abbe number Vd
40.782
Chromatic dispersion dn/dλ
-0.106511 µm⁻¹
Group index ng
1.91408
Group velocity dispersion
201.472 fs²/mm
Dispersion parameter D
-1099.14 ps/(nm·km)
Photon energy
2.11001 eV

ε = (n + ik)², α = 4πk/λ, ng = n − λ dn/dλ, GVD = λ³/(2πc²) d²n/dλ², D = −(λ/c) d²n/dλ². Group-velocity dispersion is given for formula data only.

Use it in Lightsmith

Load this data in Python, simulate in one more line

pip install lightsmith
import lightsmith as ls

# S-LAH89 (OHARA): S-LAH89
ohara_s_lah89 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-LAH89", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_lah89.range_nm)  # (400, 2300) nm
eps = ohara_s_lah89.eps([633])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

Lightsmith is open source (MIT): Mie, T-matrix, BEM, DDA, FDTD, RCWA, TMM, mode solvers and inverse design behind one spec, on CPU or GPU. GitHub.

Dispersion formula

Sellmeier (C in µm²) (formula 2), λ in µm
n2−1=1.95118827λ2λ2−0.00976560799+0.377607223λ2λ2−0.0382232043+1.47757262λ2λ2−112.23672

Valid from 0.4 to 2.3 µm.

Coefficients as stored
CiValue
C10.0
C21.95118827
C30.00976560799
C40.377607223
C50.0382232043
C61.47757262
C7112.23672

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 2.88e-06 9.71e-09 -1.22e-11 8.18e-07 8e-10 0.213
nd
1.851500
Vd
40.782269
density
value: 4700
thermal expansion
value: 6.8e-06, temperature range: 243 343
dPgF
-0.006
resistance
acid: 4.0; climatic: 2.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 3.38e-06 K⁻¹ at 633 nm, dn/dT = 2.15e-06 K⁻¹ at 1310 nm, dn/dT = 2.05e-06 K⁻¹ at 1550 nm

References

Cite

OHARA Zemax catalog 2017-11-30 (obtained from http://www.ohara-inc.co.jp); See also OHARA glass data sheets; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 418 wavelengths, the same grid as the API and the library
S-LAH89 (OHARA), S-LAH89: n and k versus wavelength
λ (µm)nk
0.41.8899842.310000e-07
0.4017571.8893092.220793e-07
0.4035231.8886412.131193e-07
0.4052951.8879812.041201e-07
0.4070761.8873291.950812e-07
0.4088651.8866841.860027e-07
0.4106611.8860471.768842e-07
0.4124651.8854171.677258e-07
0.4142781.8847941.585270e-07
0.4160981.8841781.492879e-07
0.4179261.8835691.400081e-07
0.4197621.8829671.306876e-07
0.421.882891.294800e-07
0.4216061.8823721.262005e-07
0.4234591.8817831.224187e-07
0.4253191.8812011.186203e-07
0.4271881.8806261.148052e-07
0.4290651.8800571.109734e-07
0.430951.8794941.071247e-07
0.4328431.8789371.032591e-07
0.4347451.8783879.937650e-08
0.4366551.8778429.547686e-08
0.4385741.8773049.156009e-08
0.441.8769098.864800e-08
0.4405011.8767718.800023e-08
0.4424361.8762448.549557e-08
0.444381.8757238.297990e-08
0.4463321.8752078.045317e-08
0.4482931.8746977.791535e-08
0.4502631.8741937.536637e-08
0.4522411.8736947.280620e-08
0.4542281.87327.023478e-08
0.4562241.8727116.765206e-08
0.4582281.8722286.505799e-08
0.461.8718076.276500e-08
0.4602411.871756.251733e-08
0.4622641.8712766.044315e-08
0.4642951.8708085.835986e-08
0.4663341.8703455.626741e-08
0.4683831.8698865.416578e-08
0.4704411.8694335.205490e-08
0.4725081.8689844.993476e-08
0.4745841.868544.780530e-08
0.4766691.86814.566648e-08
0.4787641.8676654.351827e-08
0.481.8674114.225000e-08
0.4808671.8672344.163005e-08
0.482981.8668084.011945e-08
0.4851021.8663863.860221e-08
0.4872331.8659683.707831e-08
0.4893741.8655553.554771e-08
0.4915241.8651463.401038e-08
0.4936831.8647413.246630e-08
0.4958531.864343.091544e-08
0.4980311.8639442.935776e-08
0.51.863592.795000e-08
0.5002191.8635512.786587e-08
0.5024171.8631622.702247e-08
0.5046241.8627772.617537e-08
0.5068421.8623962.532454e-08
0.5090681.8620182.446998e-08
0.5113051.8616452.361166e-08
0.5135511.8612752.274957e-08
0.5158081.8609092.188370e-08
0.5180741.8605462.101402e-08
0.520351.8601872.014051e-08
0.5226361.8598321.926318e-08
0.5249331.859481.838198e-08
0.5272391.8591311.749692e-08
0.5295551.8587861.660796e-08
0.5318821.8584441.571510e-08
0.5342191.8581061.481832e-08
0.5365661.857771.391760e-08
0.5389241.8574381.301292e-08
0.5412911.8571091.210426e-08
0.543671.8567841.119162e-08
0.5460581.8564611.027496e-08
0.5484571.8561429.354274e-09
0.551.8559398.762300e-09
0.5508671.8558258.693186e-09
0.5532871.8555128.500276e-09
0.5557181.8552018.306517e-09
0.558161.8548948.111907e-09
0.5606121.8545897.916443e-09
0.5630751.8542887.720119e-09
0.5655491.8539897.522933e-09
0.5680341.8536927.324880e-09
0.570531.8533997.125958e-09
0.5730361.8531086.926161e-09
0.5755541.852826.725487e-09
0.5780831.8525356.523931e-09
0.5806231.8522536.321489e-09
0.5831741.8519726.118158e-09
0.5857361.8516955.913933e-09
0.5883091.851425.708812e-09
0.5908941.8511485.502789e-09
0.593491.8508785.295860e-09
0.5960981.850615.088023e-09
0.5987171.8503454.879273e-09
0.61.8502174.777000e-09
0.6013471.8500824.927315e-09
0.6039891.8498225.222064e-09
0.6066431.8495645.518108e-09
0.6093081.8493085.815453e-09
0.6119861.8490556.114105e-09
0.6146741.8488046.414068e-09
0.6173751.8485556.715350e-09
0.6200871.8483087.017955e-09
0.6228121.8480647.321890e-09
0.6255481.8478217.627160e-09
0.6282971.8475817.933771e-09
0.6310571.8473438.241729e-09
0.633831.8471078.551041e-09
0.6366141.8468738.861711e-09
0.6394111.8466419.173747e-09
0.6422211.8464119.487153e-09
0.6450421.8461839.801936e-09
0.6478771.8459571.011810e-08
0.651.8457891.035500e-08
0.6507231.8457331.028585e-08
0.6535821.8455111.001243e-08
0.6564541.845299.737806e-09
0.6593381.8450729.461974e-09
0.6622351.8448559.184931e-09
0.6651441.844648.906670e-09
0.6680671.8444278.627186e-09
0.6710021.8442168.346475e-09
0.673951.8440078.064530e-09
0.6769111.8437997.781347e-09
0.6798851.8435937.496919e-09
0.6828721.8433897.211242e-09
0.6858721.8431866.924309e-09
0.6888861.8429856.636116e-09
0.6919121.8427866.346657e-09
0.6949521.8425886.055926e-09
0.6980061.8423925.763918e-09
0.71.8422655.573200e-09
0.7010731.8421985.581740e-09
0.7041531.8420055.606264e-09
0.7072471.8418135.630897e-09
0.7103541.8416235.655637e-09
0.7134751.8414355.680487e-09
0.716611.8412485.705445e-09
0.7197581.8410635.730514e-09
0.722921.8408795.755692e-09
0.7260971.8406965.780981e-09
0.7292871.8405155.806381e-09
0.7324911.8403355.831893e-09
0.7357091.8401575.857517e-09
0.7389421.839985.883253e-09
0.7421881.8398045.909102e-09
0.7454491.839635.935065e-09
0.7487241.8394575.961142e-09
0.7520141.8392855.987334e-09
0.7553181.8391156.013641e-09
0.7586361.8389466.040063e-09
0.761971.8387786.066602e-09
0.7653171.8386116.093257e-09
0.768681.8384466.120029e-09
0.7720571.8382826.146918e-09
0.7754491.8381186.173926e-09
0.7788561.8379576.201053e-09
0.7822781.8377966.228299e-09
0.7857151.8376366.255664e-09
0.7891671.8374786.283150e-09
0.7926351.8373216.310756e-09
0.7961171.8371646.338484e-09
0.7996151.8370096.366333e-09
0.81.8369926.369400e-09
0.8031281.8368556.394305e-09
0.8066571.8367026.422400e-09
0.8102011.836556.450618e-09
0.813761.8363996.478960e-09
0.8173361.8362496.507427e-09
0.8209271.83616.536019e-09
0.8245341.8359526.564736e-09
0.8281561.8358056.593580e-09
0.8317951.8356596.622550e-09
0.8354491.8355146.651648e-09
0.839121.835376.680873e-09
0.8428071.8352276.710227e-09
0.846511.8350856.739710e-09
0.8502291.8349446.769322e-09
0.8539641.8348036.799065e-09
0.8577161.8346636.828938e-09
0.8614851.8345256.858942e-09
0.865271.8343876.889079e-09
0.8690711.834256.919347e-09
0.872891.8341146.949749e-09
0.8767251.8339786.980284e-09
0.8805771.8338437.010953e-09
0.8844461.833717.041757e-09
0.8883321.8335777.072697e-09
0.8922351.8334447.103772e-09
0.8961551.8333137.134984e-09
0.91.8331857.165600e-09
0.9000921.8331827.166333e-09
0.9040471.8330527.197816e-09
0.9080191.8329237.229437e-09
0.9120081.8327947.261197e-09
0.9160151.8326667.293097e-09
0.920041.8325397.325136e-09
0.9240821.8324127.357317e-09
0.9281421.8322867.389639e-09
0.932221.8321617.422103e-09
0.9363161.8320367.454709e-09
0.9404291.8319127.487459e-09
0.9445611.8317897.520353e-09
0.9487111.8316667.553391e-09
0.952881.8315447.586574e-09
0.9570661.8314227.619903e-09
0.9612711.8313017.653379e-09
0.9654951.8311817.687002e-09
0.9697361.8310617.720772e-09
0.9739971.8309427.754691e-09
0.9782761.8308237.788759e-09
0.9825751.8307057.822976e-09
0.9868921.8305877.857344e-09
0.9912281.830477.891863e-09
0.9955831.8303537.926533e-09
0.9999571.8302377.961356e-09
11.8302357.961700e-09
1.004351.8301217.996336e-09
1.008761.8300058.031470e-09
1.013191.8298918.066758e-09
1.017651.8297768.102202e-09
1.022121.8296628.137801e-09
1.026611.8295498.173556e-09
1.031121.8294358.209469e-09
1.035651.8293238.245539e-09
1.04021.829218.281768e-09
1.044771.8290988.318156e-09
1.049361.8289878.354704e-09
1.053971.8288768.391412e-09
1.05861.8287658.428282e-09
1.063251.8286548.465313e-09
1.067921.8285448.502508e-09
1.072621.8284348.539866e-09
1.077331.8283258.577387e-09
1.082061.8282168.615074e-09
1.086821.8281078.652927e-09
1.091591.8279988.690945e-09
1.096391.827898.729131e-09
1.10121.8277828.767484e-09
1.106041.8276748.806006e-09
1.11091.8275678.844698e-09
1.115781.827468.883559e-09
1.120681.8273538.922591e-09
1.125611.8272468.961794e-09
1.130551.8271399.001170e-09
1.135521.8270339.040719e-09
1.140511.8269279.080441e-09
1.145521.8268219.120338e-09
1.150551.8267159.160410e-09
1.155611.826619.200659e-09
1.160691.8265049.241084e-09
1.165791.8263999.281687e-09
1.170911.8262949.322468e-09
1.176051.8261899.363428e-09
1.181221.8260849.404569e-09
1.186411.825989.445890e-09
1.191621.8258759.487392e-09
1.196861.8257719.529077e-09
1.21.8257089.554100e-09
1.202121.8256669.688977e-09
1.20741.8255621.002568e-08
1.21271.8254581.036385e-08
1.218031.8253541.070352e-08
1.223381.825251.104467e-08
1.228761.8251461.138733e-08
1.234161.8250421.173149e-08
1.239581.8249381.207716e-08
1.245021.8248341.242436e-08
1.250491.8247311.277307e-08
1.255991.8246271.312332e-08
1.261511.8245231.347511e-08
1.267051.8244191.382844e-08
1.272621.8243151.418333e-08
1.278211.8242111.453978e-08
1.283821.8241081.489779e-08
1.289461.8240041.525737e-08
1.295131.82391.561854e-08
1.300821.8237961.598129e-08
1.306531.8236921.634563e-08
1.312281.8235871.671158e-08
1.318041.8234831.707913e-08
1.323831.8233791.744830e-08
1.329651.8232751.781909e-08
1.335491.823171.819151e-08
1.341361.8230651.856556e-08
1.347251.8229611.894126e-08
1.353171.8228561.931861e-08
1.359121.8227511.969762e-08
1.365091.8226452.007829e-08
1.371081.822542.046064e-08
1.377111.8224342.084466e-08
1.383161.8223292.123038e-08
1.389241.8222232.161778e-08
1.395341.8221172.200689e-08
1.41.8220362.230400e-08
1.401471.822012.242124e-08
1.407631.8219042.291233e-08
1.413811.8217972.340558e-08
1.420021.821692.390099e-08
1.426261.8215832.439858e-08
1.432531.8214752.489836e-08
1.438821.8213682.540033e-08
1.445141.821262.590451e-08
1.451491.8211512.641090e-08
1.457871.8210432.691952e-08
1.464281.8209342.743038e-08
1.470711.8208252.794347e-08
1.477171.8207152.845882e-08
1.483661.8206052.897644e-08
1.490181.8204952.949633e-08
1.496731.8203853.001851e-08
1.50331.8202743.054297e-08
1.509911.8201633.106975e-08
1.516541.8200513.159883e-08
1.523211.8199393.213025e-08
1.52991.8198273.266399e-08
1.536621.8197143.320008e-08
1.543371.8196013.373853e-08
1.550151.8194873.427934e-08
1.556961.8193733.482253e-08
1.56381.8192593.536811e-08
1.570671.8191443.591608e-08
1.577571.8190293.646646e-08
1.584511.8189133.701926e-08
1.591471.8187963.757449e-08
1.598461.818683.813215e-08
1.61.8186543.825500e-08
1.605481.8185624.036021e-08
1.612541.8184454.306870e-08
1.619621.8183264.578909e-08
1.626741.8182074.852143e-08
1.633881.8180885.126578e-08
1.641061.8179685.402219e-08
1.648271.8178475.679070e-08
1.655521.8177265.957138e-08
1.662791.8176056.236428e-08
1.670091.8174826.516945e-08
1.677431.817366.798694e-08
1.68481.8172367.081681e-08
1.69221.8171127.365912e-08
1.699641.8169877.651391e-08
1.707111.8168627.938125e-08
1.714611.8167368.226118e-08
1.722141.8166098.515377e-08
1.729711.8164828.805906e-08
1.737311.8163549.097712e-08
1.744941.8162259.390800e-08
1.752611.8160959.685176e-08
1.760311.8159659.980845e-08
1.768041.8158341.027781e-07
1.775811.8157021.057609e-07
1.783611.815571.087567e-07
1.791451.8154361.117657e-07
1.799321.8153021.147879e-07
1.81.8152911.150500e-07
1.807221.8151671.254473e-07
1.815161.8150321.368772e-07
1.823141.8148951.483573e-07
1.831151.8147581.598879e-07
1.839191.814621.714691e-07
1.847271.8144811.831012e-07
1.855391.8143411.947844e-07
1.863541.81422.065189e-07
1.871731.8140582.183050e-07
1.879951.8139162.301429e-07
1.888211.8137722.420328e-07
1.896511.8136282.539749e-07
1.904841.8134822.659695e-07
1.913211.8133362.780168e-07
1.921621.8131892.901170e-07
1.930061.813043.022704e-07
1.938541.8128913.144772e-07
1.947061.812743.267376e-07
1.955611.8125893.390519e-07
1.96421.8124373.514203e-07
1.972831.8122833.638430e-07
1.98151.8121283.763203e-07
1.990211.8119733.888524e-07
1.998951.8118164.014396e-07
21.8117974.029500e-07
2.007731.8116584.306952e-07
2.016551.8114994.623432e-07
2.025411.8113394.941303e-07
2.034311.8111775.260571e-07
2.043251.8110155.581241e-07
2.052231.8108515.903321e-07
2.061241.8106866.226815e-07
2.07031.810526.551731e-07
2.07941.8103526.878074e-07
2.088531.8101847.205851e-07
2.097711.8100147.535068e-07
2.106931.8098437.865731e-07
2.116181.809678.197848e-07
2.125481.8094968.531423e-07
2.134821.8093218.866464e-07
2.14421.8091449.202978e-07
2.153621.8089669.540969e-07
2.163081.8087879.880446e-07
2.172581.8086061.022141e-06
2.182131.8084241.056388e-06
2.191721.808241.090785e-06
2.21.8080811.120500e-06
2.201351.8080551.144916e-06
2.211021.8078681.320208e-06
2.220731.807681.496270e-06
2.230491.8074911.673105e-06
2.240291.80731.850718e-06
2.250131.8071072.029110e-06
2.260021.8069122.208287e-06
2.269951.8067172.388251e-06
2.279921.8065192.569005e-06
2.289941.806322.750554e-06
2.31.8061192.932900e-06

Optical transmission calculator

Free-standing sample in vacuum, normal incidence
Method
Transmittance T
—
Reflectance R
—

Fresnel reflection calculator

Direction
Rp
—
Rs
—
R = (Rp+Rs)/2
—
Phase φp
—
Phase φs
—
Brewster angle θB
—
Critical angle θC
—